Deck 1: Notation and Symbols

Question 1

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Answer 1

D

Question 2

For the sentence below, write an equivalent expression in symbols. The product of and is less than or equal to the sum of and .

A)
B)
C)
D)
E)

Answer 2

B

Question 3

Find the next number in the sequence. 2, 2, 4, 6, 10, 16,. . . (A Fibonacci-like sequence.)

A)
B)
C)
D)
E)

Answer 3

A

Question 4

In 1993 the government standardized the way in which nutrition information was presented on the labels of most packaged food products. The figure shows a standardized food label from a package of cookies that I ate at lunch the day I was writing the problems for this problem set. Use the information in the figure to answer the following question. If I paid $0.50 for the package of cookies, how much did each cookie cost?

A) $0.07
B) $0.02
C) $0.75
D) $0.05
E) none of these

Question 5

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 6

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 7

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 8

Expand and multiply.

A)
B)
C)
D)
E)

Question 9

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 10

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 11

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of bowling.

A) calories
B) calories
C) calories
D) calories
E) calories

Question 12

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 13

For the sentence below, write an equivalent expression in symbols. The quotient of and is equal to the sum of and .

A)
B)
C)
D)
E)

Question 14

Expand and multiply.

A)
B)
C)
D)
E)

Question 15

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 16

Find the next number in the sequence. 1, 4, 9, 16, 25, . . . (The sequence of squares.)

A)
B)
C)
D)
E)

Question 17

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 18

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 19

For the sentence below, write an equivalent expression in symbols. The sum of and is .

A)
B)
C)
D)
E)

Question 20

Use the rule for order of operations to simplify the expression as much as possible.

A)
B)
C)
D)
E)

Question 21

Use the rule for order of operations to simplify the expression as much as possible.

Question 22

Use the rule for order of operations to simplify the expression as much as possible.

Question 23

Find the next number in the sequence. 1, 4, 9, 16, 25, 36, . . . (The sequence of squares.)

Question 24

For the sentence below, write an equivalent expression in symbols. The sum of x and 3 is 12.

Question 25

Use the rule for order of operations to simplify the expression as much as possible.

Question 26

Use the rule for order of operations to simplify the expression as much as possible.

Question 27

Use the rule for order of operations to simplify the expression as much as possible.

Question 28

Use the rule for order of operations to simplify the expression as much as possible.

Question 29

Find the next number in the sequence. 2, 2, 4, . . . (A Fibonacci-like sequence.)

Question 30

For the sentence below, write an equivalent expression in symbols. The product of 4 and y is less than or equal to the sum of y and 3.

Question 31

Use the rule for order of operations to simplify the expression as much as possible.

Question 32

Use the rule for order of operations to simplify the expression as much as possible.

Question 33

For the sentence below, write an equivalent expression in symbols. The quotient of x and 7 is equal to the sum of x and 2.

Question 34

Use the rule for order of operations to simplify the expression as much as possible.

Question 35

What symbol must be placed in the blank to make the resulting statement true? _____

A)
B)
C)
D)
E)

Question 36

Use the rule for order of operations to simplify the expression as much as possible.

Question 37

In 1993 the government standardized the way in which nutrition information was presented on the labels of most packaged food products. The figure shows a standardized food label from a package of cookies that I ate at lunch the day I was writing the problems for this problem set. Use the information in the figure to answer the following question. How many cookies are in the package? __________ cookies

Question 38

Use the rule for order of operations to simplify the expression as much as possible.

Question 39

Expand and multiply.

Question 40

Expand and multiply.

Question 41

Multiply the following.

A)
B)
C)
D)
E)

Question 42

Multiply the following.

A)
B)
C)
D)
E)

Question 43

Multiply the following.

A)
B)
C)
D)
E)

Question 44

Find the perimeter of an piece of notebook paper.

A) inches
B) inches
C) inches
D) inches
E) inches

Question 45

Simplify the expression.

Question 46

Find the area of the figure.

A) 80 square centimeters
B) 40 square centimeters
C) 6,400 square centimeters
D) 79 square centimeters
E) 40 centimeters

Question 47

Simplify the expression.

A)
B)
C)
D)
E)

Question 48

Give the reciprocal for the number 3.

A)
B)
C)
D)
E)

Question 49

Find the perimeter of an piece of notebook paper. perimeter = __________ inches

Question 50

Simplify the expression.

A)
B)
C)
D)
E)

Question 51

Write the following fraction as an equivalent fraction with denominator 14.

A)
B)
C)
D)
E)

Question 52

What symbol must be placed in the blank to make the resulting statement true? _____

A)
B)
C)
D)
E)

Question 53

Expand and multiply.

A)
B)
C)
D)
E)

Question 54

Find the perimeter of the figure.

A) 20 inches
B) 8 square inches
C) 16 inches
D) 8 inches
E) 12 inches

Question 55

Write the following fraction as an equivalent fraction with denominator 12.

A)
B)
C)
D)
E)

Question 56

Draw a number line that extends from to . Label the point with the following coordinate.

A)
B)
C)
D)
E)

Question 57

A woman has a balance of $18 in her checking account. If she writes a check for $26, what negative number can be used to represent the new balance in her checking account?

A)
B)
C)
D)
E)

Question 58

Multiply the following.

Question 59

Give the opposite for .

A)
B)
C)
D)
E)

Question 60

A woman has a balance of in her checking account. If she writes a check for , what number can be used to represent the new balance in her checking account? $__________

Question 61

Work the problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 62

Simplify the expression.

Question 63

Work the following problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 64

Multiply the following.

Question 65

Expand and multiply.

Question 66

Work the following problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 67

Work the following problem.

A)
B)
C)
D)
E)

Question 68

Place one of the symbols or between the following numbers to make the resulting statement true. __________

Question 69

Write the following fraction as an equivalent fraction with denominator .

Question 70

Work the following problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 71

Find the perimeter and the area of the figure. perimeter = __________ inches area = __________ inches

Question 72

Find the perimeter and area of the figure. perimeter = __________ centimeters area = __________ centimeters

Question 73

Multiply the following.

Question 74

Simplify.

A)
B)
C)
D)
E)

Question 75

Work the following problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 76

Work the problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)

Question 77

Simplify.

A)
B)
C)
D)
E)

Question 78

Write the following fraction as an equivalent fraction with denominator .

Question 79

Place one of the symbols or between the following to make the resulting statement true. __________

Question 80

Work the following problem using the rule for addition of real numbers.

A)
B)
C)
D)
E)